Solve a 2nd order Ordinary Differential Equation

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Homework Help Overview

The discussion revolves around solving a second-order ordinary differential equation of the form Y'' - (Y')^2 + (C1 * exp(Y)) = C2, where C1 and C2 are constants. Participants express uncertainty about how to begin tackling the problem.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants attempt to redefine the variables, suggesting Y' = A and Y = At + C3, but express uncertainty about the validity of these substitutions. They also explore transforming the equation into a first-order form but question the implications of their manipulations.

Discussion Status

The discussion is ongoing, with participants sharing their attempts at reformulating the problem. Some have provided links to external resources, indicating a search for additional insights or methods. There is no explicit consensus on the approach to take, and multiple interpretations of the problem are being explored.

Contextual Notes

Participants note a lack of clarity on how to start the problem and mention the importance of posting in the correct forum, indicating a potential concern about the appropriateness of the discussion's context.

physicsguy43
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Homework Statement


Y''-((Y')^2)+(C1*exp(Y))=C2

C1 and C2 are constants.
exp = e

Homework Equations


No clue how to start this

The Attempt at a Solution


Y'=A=dY/dt
Y=At+C3 (not sure)

A'-(A^2)+C1exp(At+C3)-C2=0
A'-(A^2)+C1exp(C3)exp(At)=0
let C=C1*exp(C3)
A'-(A^2)+Cexp(At)=0
 
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physicsguy43 said:

Homework Statement


Y''-((Y')^2)+(C1*exp(Y))=C2

C1 and C2 are constants.
exp = e

Homework Equations


No clue how to start this

The Attempt at a Solution


Y'=A=dY/dt
Y=At+C3 (not sure)

A'-(A^2)+C1exp(At+C3)-C2=0
A'-(A^2)+C1exp(C3)exp(At)=0
let C=C1*exp(C3)
A'-(A^2)+Cexp(At)=0
Please post your HW threads in the proper HW forum by subject. If you're not sure where they should go, you can always ask a Mentor for help.
 
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